Onset about non-isothermal flow of Williamson liquid over exponential surface by computing numerical simulation in perspective of Cattaneo Christov heat flux theory

Bilal, S.; Shah, Imtiaz Ali; Khan, Noor Zeb; Akgül, Ali; Nisar, Kottakkaran Sooppy

doi:10.1016/j.aej.2021.11.038

Cited by 33 publications

(12 citation statements)

References 46 publications

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“…Alzahrani et al [35] f , which creates a heat transfer coefficient h w . The mathematical model, after employing the above assumptions is presented as follows, see Shehzad et al [38], Nadeem and Hussain [39], Bilal et al [40] and Ijaz Khan et al [41],…”

Section: Cfmentioning

confidence: 99%

Entropy optimization of MHD Casson-Williamson fluid flow over a convectively heated stretchy sheet with Cattaneo-Christov dual flux

Sivanandam¹,

ESWARAMOORTHI

2022

Scientia Iranica

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This work confers the comparative study of Casson-Williamson fluid flow over a heated porous stretchy sheet. The energy and mass transfer equations are modeled by Cattaneo-Christov theory. The governing flow models were altered into an ODE model with the use of suitable transformations. The HAM scheme is applied to find the series solutions. The response of diverse flow variables on fluid speed, fluid warmness, liquid concentration, skin friction coefficient, local Nusselt number, local Sherwood number, local entropy generation number and Bejan number are analyzed through graphs and charts. It is found that the fluid speed subsides when surging values of the magnetic field, porosity, Casson fluid, Williamson fluid and injection/suction parameters. The fluid warmness escalates for a high amount of radiation, convective heating and heat generation/absorption parameters and its suppresses when enriching the convective cooling parameter. The chemical reaction parameter leads to rise in the thickness of the solutal boundary layer. The higher quantity of skin friction coefficient occurs in Casson fluid compared to Williamson fluid. The local entropy generation decimates when growing the Casson and Williamson parameters and it aggravates when raising the Biot number. The Bejan number exalts when upgrading the Reynolds, Brinkman and Biot numbers.

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Section: Cfmentioning

confidence: 99%

Entropy optimization of MHD Casson-Williamson fluid flow over a convectively heated stretchy sheet with Cattaneo-Christov dual flux

Sivanandam¹,

ESWARAMOORTHI

2022

Scientia Iranica

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“…Also, in [7,8], 2D temporal-spatial fractional differential equations using extended fractional power series expansion is investigated, and the conformable-time-fractional Klein-Fock-Gordon equation is solved using the Kudryashov-expansion method to extract dual-wave solutions. In [9][10][11], the solutions of fractional gas dynamics equation, the nonisothermal flow of Williamson liquid over exponential surface, and the thermal radiative are considered by using a new fractional technique. Many studies use the time scales theory to deal with discrete formulations of fractional calculus [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

A Novel Computational Tool for the Fractional-Order Special Functions Arising from Modeling Scientific Phenomena via Abu-Shady–Kaabar Fractional Derivative

Abu‐Shady

Kaabar

2022

Computational and Mathematical Methods in Medicine

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Recently, a generalized fractional derivative formulation, known as Abu-Shady–Kaabar fractional derivative, is studied in detail which produces satisfactory results that are consistent with conventional definitions of fractional derivative such as Caputo and Riemann-Liouville. To derive the fractional forms of special functions, the generalized fractional derivative is used. The findings demonstrate that the current findings are compatible with Caputo findings. In addition, the fractional solution to the Bessel equation is found. While modeling phenomena in engineering, physical, and health sciences, special functions can be encountered in most modeling scenarios related to electromagnetic waves, hydrodynamics, and other related models. Therefore, there is a need for a computational tool for computing special functions in the sense of fractional calculus. This tool provides a straightforward technique for some fractional-order special functions while modeling these scientific phenomena in science, medicine, and engineering.

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“…In another related study of a non‐Newtonian fluid, Bilal et al 16 investigated the nonisothermal flow of a Williamson fluid subjected to a modified heat flux (Cattaneo–Christov) hypothesis. The magnetic field suppresses the velocity field and accompanying boundary layer region.…”

Section: Introductionmentioning

confidence: 99%

Nonsimilar solution of a boundary layer flow of a Reiner–Philippoff fluid with nonlinear thermal convection

et al. 2022

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The thermodynamics modeling of a Reiner-Philippofftype fluid is essential because it is a complex fluid with three distinct probable modifications. This fluid model can be modified to describe a shear-thinning, Newtonian, or shear-thickening fluid under varied viscoelastic conditions. This study constructs a mathematical model that describes a boundary layer flow of a Reiner-Philippoff fluid with nonlinear radiative heat flux and temperature-and concentration-induced buoyancy force. The dynamical model follows the usual conservation laws and is reduced through a nonsimilar group of transformations. The resulting equations are solved using a spectral-based local linearization method, and the accuracy of the numerical results is validated through the grid dependence and convergence tests. Detailed analyses of the effects of specific thermophysical parameters are presented through tables and graphs. The study reveals, among other results, that the buoyancy force, solute and thermal expansion coefficients, and thermal radiation increase the overall wall drag, heat, and mass fluxes.Furthermore, the study shows that amplifying the

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Onset about non-isothermal flow of Williamson liquid over exponential surface by computing numerical simulation in perspective of Cattaneo Christov heat flux theory

Cited by 33 publications

References 46 publications

Entropy optimization of MHD Casson-Williamson fluid flow over a convectively heated stretchy sheet with Cattaneo-Christov dual flux

Entropy optimization of MHD Casson-Williamson fluid flow over a convectively heated stretchy sheet with Cattaneo-Christov dual flux

A Novel Computational Tool for the Fractional-Order Special Functions Arising from Modeling Scientific Phenomena via Abu-Shady–Kaabar Fractional Derivative

Nonsimilar solution of a boundary layer flow of a Reiner–Philippoff fluid with nonlinear thermal convection

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